Answers
Answer: 12.65
Step-by-step explanation:
Ive never solved a problem like this, but this is how I would solve it. You first want to find the height of the triangle by using the Pythagorean theorem. Solve for the height by using the left triangle.
[tex](4\sqrt{2} )^2=4^2+b^2\\32=16+b^2\\16=b^2\\b=4[/tex]
b is the height, the dotted line, of both triangles. Now do the Pythagorean theorem on the right triangle to find the value of x
[tex]12^2+4^2=x^2\\144+16=x^2\\160=x^2\\x=\sqrt{160} \\x=12.649=12.65[/tex]
Related Questions
Gayle is saving money to buy a
camera that costs $315. She has
$40 saved, and each week she adds
$25 to her savings. How many
weeks will it take Gayle to save
enough money to buy the camera?
Answers
Which infinite geometric series can you NOT find the sum?
A) 96, 24, 6, 1.5, 0.375,...
B) 81, 72.9, 65.61, 59.049,...
C) 127, 152.4, 182.88, 219.456,...
D) 154, 53.9, 18.865, 6.60275,...
Answers
Answer: C) 127, 152.4, 182.88, 219.456,...
Step-by-step explanation:
You can only find the sum of an infinite geometric sequence if it converges.
One criterion to see if the series converges is if:
aₙ < aₙ₋₁
This means that, as n increases, the value of the terms decreases.
This means that as n tends to infinity, aₙ tends to zero.
Then we only can find the sum of those series where the terms are decreasing.
in A, B and D the terms are decreasing, then we can find the sum of those 3 series.
Now in the case of C, the terms are increasing, then we can not find the sum of that series.
Patty needs a total of $80 to buy a bicycle. She has already saved $35. If she saves $10 a week from her earnings, what is the least number of weeks she must work to have enough money to buy the bicycle?
Answers
Answer:
5 weeks
Step-by-step explanation:
She would need to work at least 8 weeks because the bicycle is $80 and she has $35.
Answer:
5 weeks
Step-by-step explanation:
i took 80 - 35 to get 45 (money she still needs)
then took 45 divided by 10 to get 4.5 ( how many weeks till she has the money)
and if you get 10 dollars per week and its asking how many weeks
you have to up the 4 by one because it has a .5
so it would be 5 weeks
Which graph shows a set of ordered pairs that represent a function ?
Answers
Answer:
C
Step-by-step explanation:
if you draw a line between the points then draw vertical lines they dont cross more than one dot
Please someone help meee!!
Answers
Option B is the correct answer
PLEASE HELP!!! MATH FINAL
Answers
Answer:
He Won 26 Box trolls and 11 Pikachus
Step-by-step explanation:
You subtract 37-11 which would get you 26
Help asap!!
Jenny predicted that she would sell 12 bracelets, but she actually sold 16 bracelets. Which expression would find the percent error? Use the table below to help answer the question.
Percent Error
Item
Approximate value
Exact value
Error
Absolute error
Ratio
Percent error
Bracelets
12
16
–4
4
-4/12(100)
-4/12
4/16
4/16(100)
Answers
4/16(100)
Step-by-step explanation:
Answer:
4/16(100)
Step-by-step explanation:
f(x) = x2 + 1
What is f(f(x))?
Answers
Answer:The x could just mean a variable but I don't know what F means sorry.
Step-by-step explanation:
WILL MARK BRAINLEST FOR CORRECT ANSWER
STANDARD FORM
4x + 6y = 12
Find the X and Y intercepts
(0, ) ( ,0)
Answers
Answer:
Shouldn't it be (4,0) and (0,6)?
Step-by-step explanation:
4j+2=h solve for j please help
Answers
Answer:
j = [tex]\frac{h-2}{4}[/tex]
Step-by-step explanation:
Given
4j + 2 = h ( subtract 2 from both sides )
4j = h - 2 ( isolate j by dividing both sides by 4 )
j = [tex]\frac{h-2}{4}[/tex]
what is 328 divided by 23 with the remainder
Answers
Answer:
7.1
Step-by-step explanation:
328 23 = 14.2608695652
14.2608695652 = 142.608695652 to the nearest tenth
14.2608695652 = 14.26 to the nearest hundredth
14.2608695652 = 14.261 to the nearest thousandth
= 0 to the nearest tenth
= 0 to the nearest hundredth
= 0 to the nearest thousandth
Other Divisions Math homework are
328 divide by half plus 20
Homework answers: (328/2) + 20 = 184
328 divide by half plus 40
Homework answers: (328/2) + 40 = 204
328/23 divided by 2
Answer: (328/23) ÷ 2 = 7.13043478261
help pls ?? it’s confusing
Answers
Answer:
2x+24+4x+36=180
6x+60=180
6x=180-60
6x=120
x=120/6
x=20
So <KPL=64 AND <JPL=116
Answer:
KPL = 64 JPL = 116
Step-by-step explanation:
This is a straight angle, meaning this angle will equal 180 degrees.
They give you two parts of this angle, which is (2x+24) and (4x+36)
All you have to do is add them and set this equal to 180.
So when you add 2x+24+4x+36=180 that equals 6x+60=180
Do the algebra, subtract 60 on both sides.
180-60=120
Now divide 6 on both sides.
120/6 = 20
Great, so now solved x. To find the angles, we must plug them in.
2(20)+24= 64
4(20)+36= 116
So your answer should be
KPL = 64 and JPL = 116.
This is correct because when you add these results together, you get 180.
Which equation is the inverse of y = 16x2 + 1?
O y=+T6
x-1
O y =
16
+
Oy AVTO
INX-1
Оy=
Answers
Step-by-step explanation:
[tex]y = 16 {x}^{2} + 1 \\ \\ y - 1 = 16 {x}^{2} \\ \\ \frac{y - 1}{16} = {x}^{2} \\ \\ \pm \sqrt{ \frac{y - 1}{16} } = x \\ \\ x = \pm \frac{ \sqrt{y - 1} }{4} \\ \: this \: is \: the \: required \: inverse \: \\ equation \: of \: y = 16 {x}^{2} + 1[/tex]
The equation that represents the inverse of y = 16x² + 1 is y = ±√[(x - 1)/16]
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Let us find the inverse of the equation y = 16x² + 1.
To find inverse we need to replace y with x and x with y in the original equation to obtain:
x = 16y² + 1
Now solve for y in terms of x by rearranging the terms
x - 1 = 16y²
Divide both sides by 16
y² = (x - 1)/16
Take square root on both sides.
y = ±√[(x - 1)/16]
Therefore, the equation that represents the inverse of y = 16x^2 + 1 is:
y = ±√[(x - 1)/16]
To learn more on Equation:
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Which table represents a linear function?
x---y
0---1
1---2
2---4
3---8
x---y
0---0
1---1
2---3
3---6
x---y
0---0
1---1
2---0
3---1
x---y
0---1
1---3
2---5
3---7
Answers
Answer:
I am pretty sure the last one is correct
The table that represents a linear function is:
x---y
0---1
1---2
2---4
3---8
Here, we have,
from the given tables, we get, the information that,
from the 1st table, we get,
x---y
0---1
1---2
2---4
3---8
In this table, the y-values increase by a constant difference of 1 as the x-values increase by a constant difference of 1.
This indicates a linear relationship between x and y, where the y-value is twice the x-value.
but, in the other tables, we can't get any linear relationship between x and y.
so, we get,
The table that represents a linear function is:
x---y
0---1
1---2
2---4
3---8
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Aliza needs to run at a rate faster than 8.8 feet per second in order to exceed her fastest time in a race. After running for 15 minutes, her coach determines that she is running at an average rate of 5.8 miles per hour. He concludes that she is not running fast enough to exceed her fastest time.
Answers
Answer:
Answer: The question is a multiple choice so it's A and C:)
Answer:
He used an incorrect time ratio converting hours to minutes.
He incorrectly concluded that she is not running fast enough.
Solve the power equation
x to the 1/2 power + 3=5
Answers
Answer:
x = 4
Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolating the variable.
What is the solution of the equation x2=64
Answers
A shorter style of cup is stacked tall. The graph displays the height of the stack in centimeters for different numbers of cups. How much does each cup after the first add to the height of the stack? (Hint: How much height is gained per cup added?) Explain how you know.
SCREENSHOT OF GRAPH! HELP
Answers
Answer:
0.5 cm
Step-by-step explanation:
We are looking for how much height is gained per cup added.
Height per cup added can be calculated by finding the slope of the line that runs through the two given points on the graph, (3, 5.5) and (8, 8).
Formula for slope = [tex] m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]
Let,
[tex] (3, 5.5) = (x_1, y_1) [/tex]
[tex] (8, 8) = (x_2, y_2) [/tex]
[tex] m = \frac{8 - 5.5}{8 - 3} [/tex]
[tex] m = \frac{2.5}{5} [/tex]
[tex] m = 0.5 [/tex]
0.5 cm is gained per cup added.
The rise in height per cup will be 0.5 cm.
Given information:
The given graph displays the height of the stack in centimeters for different numbers of cups.
The given points on the graph are (3,5.5) and (8,8).
Now, the slope of the line joining these two-point will give the rise per cup.
So, the slope will be calculated as,
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}\\m=\dfrac{8-5.5}{8-3}\\m=\dfrac{2.5}{5}\\m=0.5[/tex]
So, the slope is 0.5 centimeters per cup.
Therefore, the rise in height per cup will be 0.5 cm.
For more details, refer to the link:
https://brainly.com/question/18896190
Last question!
Find the equation of the line
Y=__x +__
Answers
Stephen plans to attend community college for two years. His expenses are only $2,000 each year, because his parents are paying the rest. He earned a one-time $900 scholarship. How much will he need to pay for the two years of college from his savings or by working? $1,100 $2,200 $3,100 $4,900
Answers
Answer: $3100
Step-by-step explanation:
Stephen plans to attend community college for two years and his expenses are only $2,000 each year. For both years, his expenses will be:
= $2000 × 2
= $4000
Since he earned a one-time $900 scholarship. The amount left to pay will be:
= $4000 - $900
= $3100
Answer:
3100
Step-by-step explanation:
. Keisha and her mom are at the grocery store. Keisha's mom allows her to buy a 2 pound bag of candy. Keisha can choose gummy worms, which are .40 cents per pound, or she can choose sour patches, which are .60 cents per pound. How much of each candy can Keisha buy?
Answers
Answer:
She can buy 0.8 cents worth of Gummy worms and 1.2 cents worth of sour patches
Step-by-step explanation:
Keisha is allowed to buy only 2 pounds bag of candy.
Now, she can choose either gummy worms or sour patches.
Gummy worms are 0.4 cents per pound while sour patches are 0.6 cents per pound.
Thus, maximum amount she can spend on gummy worms is; 0.4 × 2 = 0.8 cents
Maximum she can spend on sour patches is; 0.6 × 2 = 1.2 cents
She can buy 0.8 cents worth of Gummy worms and 1.2 cents worth of sour patches
Write the inverse function for the function, ƒ(x) =x + 4. Then, find the value of ƒ -1(4). Type your answers in the box.
ƒ -1(x) =
ƒ -1(4) =
Answers
Answer:
f-1(x)=x-4
f-1(4)=0
Step-by-step explanation:
to get an inverse function, replace x with y, and y with x.
y=x+4 ---> x=y+4
solve for y: x=y+4 --> y=x-4 --> f-1(x)=x-4
f-1(4)=(4)-4=0
Please help!! Will Mark brainliest!!
Answers
If f(x) = 2x-5 and g(x) = x2 - 4x - 8, find (f+ g)(x).
O A. (f+9)(x) = x2 - 2x - 13
O B. (f+g)(x) = x2 + 2x - 3
O C. (f+g)(x) = x2 - 2x-3
O D. (f+g)(x) = 3x2 - 4x - 13
Answers
The addition of the functions f(x) and g(x) will be (f+ g)(x) = x² – 2x – 13. Then the correct option is A.
What is a function?Functions are found all across mathematics and are required for the creation of complex relationships.
If f(x) = 2x – 5 and g(x) = x² – 4x – 8.
Then the function (f+ g)(x) will be
(f+ g)(x) = f(x) + g(x)
(f+ g)(x) = 2x – 5 + x² – 4x – 8
(f+ g)(x) = x² – 2x – 13
Then the correct option is A.
More about the function link is given below.
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Find the distance between the two points in simplest radical form.
(-1,0) and (5, -8)
Answers
Answer:
10
Step-by-step explanation:
Given coordinates:
(-1,0) and (5, -8)
Unknown:
Distance between the two endpoints = ?
Solution:
(-1,0) and (5, -8)
The equation for solving this problem is shown below;
Distance = [tex]\sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1} )^{2} }[/tex]
x₁ = -1 y₁ = 0
x₂ = 5 y₂ = -8
Distance = [tex]\sqrt{[(5-(-1)]^{2} + (-8 - 0)^{2} } }[/tex] = [tex]\sqrt{36 + 64}[/tex] = 10
The distance between the two points is 10.
help if u can please
Answers
Money with Tom = ×
Money with Aaron = x + 8
Their sum = $20
This can be written as :
= x + x + 8 = 20
= 2x + 8 = 20
= 2x = 20 - 8 ( transposing +8 from LHS to RHS changes +8 to -8 ) .
= 2x = 12
= x = 12 ÷ 2 ( transposing ×2 from LHS to RHS changes ×2 to ÷2 ) .
= x = 6
Which means ,
Tom has = x = $6
Aaron has = x + 8 = $6 + $8 =
= $14
Therefore , Tom has = $6 and Aaron has = $14 .
pleassseee help will give good rating and brain :)
Answers
Answer:
Step-by-step explanation:
1. (x-3)(x+8)
x^2+5-24
2. (-3x+2)(4x+5)
-12x^2-7x+10
3. (x+4)(x-4)
x^2-16
4. (x+5)^2
x^2+10x+25
5. (2x-7)^2
4x^2-28x+49
6. (x-7)(x+7)
x^2-49
7. (5x-1)(2x+4x-3)
30x^2-13x+3
8. (3x^3+7x^2+7x+10
You receive a gift card for an
online game. Every time you play,
you spend the same amount of
money. After playing 2 games,
the card balance is $17.70. After
5 games, the balance is $14.25.
Determine the original value of the
card. Explain.
Answers
Explanation: If you have $17.70 after 2 games and $14.25 after 5, you do 17.70-14.25; which equals $3.45 so in 3 games you spend $3.45 now divide that by 3 to determine the unit value; which equals $1.15, so you spend $1.15 on every game now times that by 2 which is $2.30 and add that to $17.70 to see the original amount of money on the card which was $20
What is 1 11/16 simplified
Answers
Answer:
Its already simplified but if you mean a mixed number then its 27/16
Step-by-step explanation:
The length of a rectangle is twice that of the width. The perimeter of the rectangle
is 24 cm. What is the width of the rectangle?
Answers
9514 1404 393
Answer:
4 cm
Step-by-step explanation:
The sum of length and width is half the perimeter, so is 12 cm.
The width : length ratio is 1 : 2. The width is 1/(1+2) = 1/3 of the total of length and width, so is ...
(1/3)(12 cm) = 4 cm
The width of the rectangle is 4 cm.